Dancing with Qubits, Second Edition

Quantum computing is easiest to understand when its ideas are built carefully, from the familiar logic of classical computers to the mathematics that makes qubits behave differently. In Dancing with Qubits, Second Edition, Robert S. Sutor takes that step-by-step route, connecting foundational concepts to circuits, algorithms, hardware, and possible applications.

Start with the foundations

The first part lays groundwork in classical computing and the mathematics used throughout the book. Number systems, complex numbers, vectors, matrices, transformations, and probability help make later discussions of quantum states and computation intelligible. This measured build-up is useful for readers who want more than a quick tour of quantum terminology.

From qubits to quantum circuits

With the foundations in place, the book turns to single and multiple qubits, superposition, the Bloch sphere, entanglement, and quantum gates. It then shows how gates are assembled into circuits, giving readers a framework for following how quantum operations work together.

Algorithms, applications, and what comes next

Examples include Grover’s search, Deutsch–Jozsa, Simon’s algorithm, the quantum Fourier transform, phase estimation, and Shor’s factoring algorithm. The broader discussion considers quantum computing’s potential relevance to fields including artificial intelligence and financial services, alongside the science and engineering behind quantum hardware. New material in this edition addresses NISQ algorithms and quantum machine learning, with more than 100 new exercises added throughout.

A technical introduction with room to practice

This is a mathematically substantial introduction for curious readers in computing, physics, engineering, and related fields. It is a good fit for anyone prepared to work through the underlying ideas rather than settle for surface-level explanations. 📚